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Finding the Fourth Proportional to 11,842.08, 16,343.16 and 8,262.23

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Solution

The fourth proportional to 11,842.08, 16,343.16 and 8,262.23 is: 11,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.08 : 16,343.16 = 8,262.23 : x
  2. Step 2: Convert to fraction form
    11,842.08/16,343.16 = 8,262.23/x
  3. Step 3: Cross multiply
    11,842.08x = 16,343.16 × 8,262.23
  4. Step 4: Simplify right side
    11,842.08x = 135,030,987.70
  5. Step 5: Solve for x
    x = 135,030,987.70/11,842.08
  6. Step 6: Final answer
    x = 11,402.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.